Structured pseudospectra for nonlinear eigenvalue problems

T. Wagenknecht; W. Michiels; K. Green

doi:10.1016/j.cam.2006.12.007

Structured pseudospectra for nonlinear eigenvalue problems

T. Wagenknecht
, W. Michiels
, K. Green

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems and derive computable formulae. The results are applied to the sensitivity analysis of the eigenvalues of a second-order system arising from structural dynamics and of a time-delay system arising from laser physics. In the former case, a comparison is made with the results obtained in the framework of random eigenvalue problems. © 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	245-259
Journal	Journal of computational and applied mathematics
Volume	212
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2006.12.007
Publication status	Published - 2008

Bibliographical note

Structured pseudospectra for nonlinear eigenvalue problems

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 16 Peace, Justice and Strong Institutions

Access to Document

10.1016/j.cam.2006.12.007

Persistent URL (handle)

Persistent link

Cite this

@article{df8df3b338604bec8f18ac961d69672d,

title = "Structured pseudospectra for nonlinear eigenvalue problems",

abstract = "In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems and derive computable formulae. The results are applied to the sensitivity analysis of the eigenvalues of a second-order system arising from structural dynamics and of a time-delay system arising from laser physics. In the former case, a comparison is made with the results obtained in the framework of random eigenvalue problems. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

author = "T. Wagenknecht and W. Michiels and K. Green",

note = "Structured pseudospectra for nonlinear eigenvalue problems",

year = "2008",

doi = "10.1016/j.cam.2006.12.007",

language = "English",

volume = "212",

pages = "245--259",

journal = "Journal of computational and applied mathematics",

issn = "0377-0427",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Structured pseudospectra for nonlinear eigenvalue problems

AU - Wagenknecht, T.

AU - Michiels, W.

AU - Green, K.

N1 - Structured pseudospectra for nonlinear eigenvalue problems

PY - 2008

Y1 - 2008

N2 - In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems and derive computable formulae. The results are applied to the sensitivity analysis of the eigenvalues of a second-order system arising from structural dynamics and of a time-delay system arising from laser physics. In the former case, a comparison is made with the results obtained in the framework of random eigenvalue problems. © 2007 Elsevier B.V. All rights reserved.

AB - In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems and derive computable formulae. The results are applied to the sensitivity analysis of the eigenvalues of a second-order system arising from structural dynamics and of a time-delay system arising from laser physics. In the former case, a comparison is made with the results obtained in the framework of random eigenvalue problems. © 2007 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.cam.2006.12.007

DO - 10.1016/j.cam.2006.12.007

M3 - Article

SN - 0377-0427

VL - 212

SP - 245

EP - 259

JO - Journal of computational and applied mathematics

JF - Journal of computational and applied mathematics

IS - 2

ER -

Structured pseudospectra for nonlinear eigenvalue problems

Abstract

Bibliographical note

UN SDGs

Access to Document

Persistent URL (handle)

Fingerprint

Cite this